GiventheuniversalsetU={1,2,3,4,5,6,7,8},setsA={2,4},B={1,2,8},andC={1,2,5,6}, calculate the following:Bc ( B to the c power)C Bc ( C intersects B to the c power)

Name: GiventheuniversalsetU={1,2,3,4,5,6,7,8},setsA={2,4},B={1,2,8},andC={1,
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Description: GiventheuniversalsetU={1,2,3,4,5,6,7,8},setsA={2,4},B={1,2,8},andC={1,2,5,6}, calculate the following:Bc ( B to the c power)C Bc ( C intersects B to the c power)

Answered: GiventheuniversalsetU={1,2,3,4,5,6,7,8}…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter88: Achievement Review—section Nine

Section: Chapter Questions

Problem 12AR

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GiventheuniversalsetU={1,2,3,4,5,6,7,8},setsA={2,4},B={1,2,8},andC={1,2,5,6}, calculate the following:
1. Bc ( B to the c power)
2. C Bc ( C intersects B to the c power)

Expert Solution

Step 1

It is given that the universal set is U = {1,2,3,4,5,6,7,8} where Set A = {2,4}, Set B = {1,2,8} and Set C = {1,2,5,6}, respectively.

(1)

Calculate B^c as follows.

B U B
= {1,2,3,4,5,6,7,8}-{1,2,8}
3,4,5,6,7}
Thus, from above calculation B
{3,4,5,6,7}

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